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Finding the Third Proportional to 10,199,736 and 22,193,952

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Solution

The third proportional to 10,199,736 and 22,193,952 is: 48,292,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,736 : 22,193,952 = 22,193,952 : x
  2. Step 2: Convert to fraction form
    10,199,736/22,193,952 = 22,193,952/x
  3. Step 3: Cross multiply
    10,199,736x = 22,193,952 × 22,193,952
  4. Step 4: Simplify right side
    10,199,736x = 492,571,505,378,304
  5. Step 5: Solve for x
    x = 492,571,505,378,304/10,199,736
  6. Step 6: Final answer
    x = 48,292,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.